251258868 has 144 divisors (see below), whose sum is σ = 768633600. Its totient is φ = 70761600.

The previous prime is 251258867. The next prime is 251258879. The reversal of 251258868 is 868852152.

251258868 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 588 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251258863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417768 + ... + 418368.

Almost surely, 2^251258868 is an apocalyptic number.

251258868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251258868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384316800).

251258868 is an abundant number, since it is smaller than the sum of its proper divisors (517374732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251258868 is a wasteful number, since it uses less digits than its factorization.

251258868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 692 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 251258868 is about 15851.1472140032. The cubic root of 251258868 is about 631.0161379501.

The spelling of 251258868 in words is "two hundred fifty-one million, two hundred fifty-eight thousand, eight hundred sixty-eight".